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12000031523144 = 237317724393329
BaseRepresentation
bin1010111010011111100110…
…0111011100000101001000
31120111012011211101122102022
42232213321213130011020
53033102031032220034
641304423253424012
72345654652653510
oct256477147340510
946435154348368
1012000031523144
113907203a55695
12141982a33b008
136907a10a8c32
142d6b39c66840
1515c235a9ab2e
hexae9f99dc148

12000031523144 has 64 divisors (see below), whose sum is σ = 25799308963200. Its totient is φ = 5125884355584.

The previous prime is 12000031523113. The next prime is 12000031523147. The reversal of 12000031523144 is 44132513000021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12000031523147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128531072 + ... + 128624400.

It is an arithmetic number, because the mean of its divisors is an integer number (403114202550).

Almost surely, 212000031523144 is an apocalyptic number.

12000031523144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12000031523144 is an abundant number, since it is smaller than the sum of its proper divisors (13799277440056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12000031523144 is a wasteful number, since it uses less digits than its factorization.

12000031523144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100902 (or 100898 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 12000031523144 its reverse (44132513000021), we get a palindrome (56132544523165).

The spelling of 12000031523144 in words is "twelve trillion, thirty-one million, five hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 317 634 1268 2219 2536 4438 7243 8876 14486 17752 28972 50701 57944 93329 101402 186658 202804 373316 405608 653303 746632 1306606 2296031 2613212 4592062 5226424 9184124 16072217 18368248 29585293 32144434 59170586 64288868 118341172 128577736 207097051 236682344 414194102 675981947 828388204 1351963894 1656776408 2703927788 4731873629 5407855576 9463747258 18927494516 37854989032 214286277199 428572554398 857145108796 1500003940393 1714290217592 3000007880786 6000015761572 12000031523144